Answer:
x = 11.2
Step-by-step explanation:
hypotenuse = 8.4 (radius) + 5.6 = 14
using the Pythagorean theorem:
x² = 14² - 8.4² = 196 - 70.56 =125.44
x = √125.44 = 11.2
Answer:
10
Step-by-step explanation:
4+5=9 and 1/2+1/2 =1 so 9+1=10
Check the picture below.
notice, the dashed line is the "continuation" of the graph, however, for the constraints in the piece-wise, is excluded.
<h3>
Answer: B) no solutions</h3>
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Explanation:
Let's isolate the variable y in the first equation
-2x - y = 1
-2x = 1 + y
1+y = -2x
y = -2x-1
Then we'll plug this into the second equation
-4x - 2y = -1
-4x - 2(-2x-1) = -1
-4x + 4x + 2 = -1
0x + 2 = -1
0 + 2 = -1
2 = -1
We run into a contradiction. No matter what x value we pick, the last equation will never be true. This leads to a domino effect to cause the first set of original equations to never be true when considered as a system.
Therefore, this system is inconsistent. There are no solutions. These two lines graph out parallel lines that never intersect.
Answer:
24 hours/1 day
Step-by-step explanation:
hours per day is a rate which can be expressed in the form of a fraction. since there are 24 hours in one day you know that as a fraction, they are equal to 1. you can then put 24hours/1day.